The outline of the paper is as follows: In Sect., we investigate the Hawking-Page phase transition for a high-dimensional asymptotically-flat black hole in Rényi statistics and give the essential of thermodynamical quantities. In particular, we deal with the uncharged and charged solutions, and following the strategy of Ref.[1]}, we elaborate a generalization of the dual formula associated with the anti-de-Sitter black hole in the Gibbs-Boltzmann statistics to an asymptotically-flat black hole in Rényi formalism.
Afterward, Sect. is devoted to the conclusion and open questions.
Finally, in the appendix, we investigate the thermodynamics of high-dimension charged black holes in asymptotically flat spacetime via Rényi entropy.
